College Trigonometry, 2011a

766 Foundations of Trigonometry
10.3.3 Answers
( π
)
( π
)
1. tan = 1 2. sec = 2√ 3
4 6 3
( ) √
4π 3
4. cot =
3 3
(
7. csc − π )
= − 2√ 3
3 3
)
(
10. sec − 5π 3
( 31π
13. tan
( 7π
16. cot
6
( ) 5π
3. csc
6
(
6. sec − 3π 2
=2
(
5. tan − 11π ) √ )
3
=
is undefined
6 3
( ) 13π
8. cot =0 9. tan (117π) =0
2
= 2 11. csc (3π) is undefined 12. cot (−5π) is undefined
)
( π
)
is undefined 14. sec = √ (
2 15. csc − 7π )
= √ 2
2
4 4
)
= √ ( ) 2π
3 17. tan = − √ 3 18. sec (−7π) =−1
3
( π
)
( 3π
19. csc = 1 20. cot
2 4
)
= −1
21. sin(θ) = 3 5 , cos(θ) =− 4 5 , tan(θ) =− 3 4 , csc(θ) = 5 3 , sec(θ) =− 5 4 , cot(θ) =− 4 3
22. sin(θ) =− 12
5
13
, cos(θ) =−
13
23. sin(θ) = 24
25 , cos(θ) = 7
25
, tan(θ) =
12
5
, tan(θ) =
24
7
13
13
, csc(θ) =−
12
, sec(θ) =−
5 , cot(θ) = 5
12
25
25
, csc(θ) =
24
, sec(θ) =
7 , cot(θ) = 7
24
24. sin(θ) = −4√ 3
7
, cos(θ) = 1 7 , tan(θ) =−4√ 3, csc(θ) =− 7√ √
3
12 , sec(θ) =7, cot(θ) =− 3
12
√ √
25. sin(θ) =− 91
3
10
, cos(θ) =−
10 , tan(θ) = 91
3 , csc(θ) =− 10√ 91
91
, sec(θ) =− 10
3 , cot(θ) = 3√ 91
91
26. sin(θ) =
√
530
530 , cos(θ) =− 23√ 530
530
, tan(θ) =− 1
23 , csc(θ) =√ 530, sec(θ) =−
27. sin(θ) =− 2√ √ √
5
5 , cos(θ) = 5
5 , tan(θ) =−2, csc(θ) =− 5
2 , sec(θ) =√ 5, cot(θ) =− 1 2
√
15
√
530
23
, cot(θ) =−23
28. sin(θ) =
4 , cos(θ) =− 1 4 , tan(θ) =−√ 15, csc(θ) = 4√ √
15
15 , sec(θ) =−4, cot(θ) =− 15
15
√ √ √ √
29. sin(θ) =− 6
6 , cos(θ) =− 30
6 , tan(θ) = 5
5 , csc(θ) =−√ 6, sec(θ) =− 30
5 , cot(θ) =√ 5
30. sin(θ) = 2√ 2
3 , cos(θ) = 1 3 , tan(θ) =2√ 2, csc(θ) = 3√ √
2
4 , sec(θ) =3, cot(θ) = 2
4
√
31. sin(θ) = 5
5 , cos(θ) = 2√ 5
5 , tan(θ) = 1 √
2 , csc(θ) =√ 5, sec(θ) = 5
2
, cot(θ) =2
32. sin(θ) = 1 5 , cos(θ) =− 2√ √
6
5 , tan(θ) =− 6
12 , csc(θ) =5, sec(θ) =− 5√ 6
12 , cot(θ) =−2√ 6
√ √ √
33. sin(θ) =− 110
11 , cos(θ) =− 11
11 , tan(θ) =√ 10, csc(θ) =− 110
10 , sec(θ) =−√ 11, cot(θ) =
√ √
34. sin(θ) =− 95
10 , cos(θ) = 5
10 , tan(θ) =−√ 19, csc(θ) =− 2√ 95
19 , sec(θ) =2√ 5, cot(θ) =−
√
19
19
√
10
10